Generalized symmetries have been shown to be important in the study of nonlinear wave equations. The possession of infinite number of such symmetries
has a bearing on integrability. Completely integrable nonlinear partial differential equations (PDEs) have a rich structure. For example, they have infinitely many conservation laws of increasing order. These PDEs have a Lax pair, they can also be solved with the inverse scattering transform and admit soliton solutions of any order [1]}, [2]}. Supersymmetries are interpretable as generalized symmetries [3]}.
